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KPSC KAS 2017 · Question 160 of 200

A swimming pool is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the swimming pool in the same time, during which the swimming pool is filled by the third pipe alone. The second pipe alone fills the swimming pool 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe only to fill the swimming pool is

Mental Ability

  1. A8 hours
  2. B12 hours
  3. C15 hoursCorrect
  4. D18 hours

Answer: C. 15 hours

Explanation

Let the first pipe take x hours; then (1/x + 1/(x−5)) = 1/(x−9)... solving gives x = 15 hours for the first pipe alone.

Source: KPSC Gazetted Probationers Prelims 2017, Paper-II (General Studies, subject code 262), Series A

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